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Simplifying -9z + 1 + 7z = 3z + 6 Reorder the terms: 1 + -9z + 7z = 3z + 6 Combine like terms: -9z + 7z = -2z 1 + -2z = 3z + 6 Reorder the terms: 1 + -2z = 6 + 3z Solving 1 + -2z = 6 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 1 + -2z + -3z = 6 + 3z + -3z Combine like terms: -2z + -3z = -5z 1 + -5z = 6 + 3z + -3z Combine like terms: 3z + -3z = 0 1 + -5z = 6 + 0 1 + -5z = 6 Add '-1' to each side of the equation. 1 + -1 + -5z = 6 + -1 Combine like terms: 1 + -1 = 0 0 + -5z = 6 + -1 -5z = 6 + -1 Combine like terms: 6 + -1 = 5 -5z = 5 Divide each side by '-5'. z = -1 Simplifying z = -1
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